Numerical techniques for solving magnetostatic problems involving motion and nonuniform geometry

Numerical techniques to solve moving problems with nonuniform geometry are presented. Common features of successful techniques are in good agreement with those of upwinding techniques. They are the evaluation of motional induction term at the old time level and the introduction of the same time dependent artificial term. The unsuccessful time step method is found to be equivalent to the standard Galerkin method which requires mesh refinement. The application of the variable reluctance probe is studied as an example